Elements of Natural Philosophy |
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Page 2
... Hence the curvature of a circle is in- versely as its radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of the radius . 0.1 S r is the 10. Any small portion of a curve may be approximately ...
... Hence the curvature of a circle is in- versely as its radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of the radius . 0.1 S r is the 10. Any small portion of a curve may be approximately ...
Page 4
... Hence , when P moves through any space in the direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
... Hence , when P moves through any space in the direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
Page 8
... Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of the triangle OAC . Hence if a point have , at the same time , velocities represented by OA , AC , and CO , the ...
... Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of the triangle OAC . Hence if a point have , at the same time , velocities represented by OA , AC , and CO , the ...
Page 9
... Hence if v be the change in the velocity during the interval 1 , v = at , or a = V. 33. Acceleration is variable when the point's velocity does not receive equal increments in successive equal periods of time . It is then measured by ...
... Hence if v be the change in the velocity during the interval 1 , v = at , or a = V. 33. Acceleration is variable when the point's velocity does not receive equal increments in successive equal periods of time . It is then measured by ...
Page 10
... Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R V or vs R ' speed adF а 2 7 and this ( § 35 ) is the amount of the acceleration in the circular path ABD . geom . 37. The whole ...
... Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R V or vs R ' speed adF а 2 7 and this ( § 35 ) is the amount of the acceleration in the circular path ABD . geom . 37. The whole ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem tion torsion uniform unit vertical vibrations weight whole wire